What is the answer to xln(x)=6ln(x) ?

The answer to xln(x)=6ln(x) is x=1,x=6

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xln(x)=6ln(x)

x ln (x) = 6 ln (x)

x = 1, x = 6

Solution steps

x ln (x) = 6 ln (x)

Move

6 ln (x)

to the left side

x ln (x) - 6 ln (x) = 0

Factor

x ln (x) - 6 ln (x) : ln (x) (x - 6)

ln (x) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (x) = 0 or x - 6 = 0

Solve

ln (x) = 0 : x = 1

Solve

x - 6 = 0 : x = 6

Verify Solutions:

x = 1

True

, x = 6

True

The solutions are

x = 1, x = 6

\frac{4 ln ( x )}{x} = 5

lo g_{2} ((r + 4)^{2}) = 6

ln (x) + 2 x - 2 = 0

50 = 9.4177 ln (x) + 59.156

x, ln (y) - ln (x) = C